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This paper introduces ROmodel, an open source Python package extending the modeling capabilities of the algebraic modeling language Pyomo to robust optimization problems. ROmodel helps practitioners transition from deterministic to robust…

Optimization and Control · Mathematics 2021-05-19 Johannes Wiebe , Ruth Misener

Instrumental variable (IV) regression can be approached through its formulation in terms of conditional moment restrictions (CMR). Building on variants of the generalized method of moments, most CMR estimators are implicitly based on…

Machine Learning · Computer Science 2024-05-21 Heiner Kremer , Bernhard Schölkopf

Robust estimation approaches are of fundamental importance for statistical modelling. To reduce susceptibility to outliers, we propose a robust estimation procedure with t-process under functional ANOVA model. Besides common mean structure…

Methodology · Statistics 2018-12-19 Chen Zhang , Zimu Chen , Zhanfeng Wang , Yaohua Wu

Instrumental variable (IV) regression relies on instruments to infer causal effects from observational data with unobserved confounding. We consider IV regression in time series models, such as vector auto-regressive (VAR) processes. Direct…

Methodology · Statistics 2024-07-23 Nikolaj Thams , Rikke Søndergaard , Sebastian Weichwald , Jonas Peters

Instrumental Variable (IV) provides a source of treatment randomization that is conditionally independent of the outcomes, responding to the challenges of counterfactual and confounding biases. In finance, IV construction typically relies…

General Economics · Economics 2024-11-27 Ying Chen , Ziwei Xu , Kotaro Inoue , Ryutaro Ichise

Estimation and inference with modern longitudinal data from wearable devices, which consist of biological signals at high-frequency time points, is burdened by massive computational costs. We propose a distributed estimation and inference…

Methodology · Statistics 2023-09-13 Cole Manschot , Emily C. Hector

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference…

Machine Learning · Computer Science 2016-05-30 Sanjeev Arora , Rong Ge , Frederic Koehler , Tengyu Ma , Ankur Moitra

Recent work on dynamic interventions has greatly expanded the range of causal questions researchers can study while weakening identifying assumptions and yielding effects that are more practically relevant. However, most work in dynamic…

Methodology · Statistics 2019-07-10 Jacqueline A Mauro , Edward H Kennedy , Daniel Nagin

We derive the exact asymptotic distribution of the conditional likelihood-ratio test in instrumental variables regression under weak instrument asymptotics and for multiple endogenous variables. The distribution is conditional on all…

Econometrics · Economics 2025-09-09 Malte Londschien

We consider estimation and inference in a linear model with endogenous regressors where the parameters of interest change across two samples. If the first-stage is common, we show how to use this information to obtain more efficient…

Econometrics · Economics 2024-06-26 Bertille Antoine , Otilia Boldea , Niccolo Zaccaria

In this paper, we present a novel and effective inference approach to conduct both finite- and large-sample inference for high-dimensional linear regression models. This approach is developed under the so-called repro samples framework, in…

Methodology · Statistics 2025-12-01 Peng Wang , Min-Ge Xie , Linjun Zhang

In this paper, we consider the situation in which the observations follow an isotonic generalized partly linear model. Under this model, the mean of the responses is modelled, through a link function, linearly on some covariates and…

Statistics Theory · Mathematics 2018-11-30 Graciela Boente , Daniela Rodriguez , Pablo Vena

Instrumental variable (IV) methods mitigate bias from unobserved confounding in observational causal inference but rely on the availability of a valid instrument, which can often be difficult or infeasible to identify in practice. In this…

Machine Learning · Statistics 2026-04-08 Frances Dean , Jenna Fields , Radhika Bhalerao , Marie Charpignon , Ahmed Alaa

This paper proposes computationally efficient methods that can be used for instrumental variable quantile regressions (IVQR) and related methods with statistical guarantees. This is much needed when we investigate heterogenous treatment…

Econometrics · Economics 2019-09-06 Yinchu Zhu

The empirical copula process plays a central role in the asymptotic analysis of many statistical procedures which are based on copulas or ranks. Among other applications, results regarding its weak convergence can be used to develop…

Statistics Theory · Mathematics 2014-11-24 Axel Bücher , Betina Berghaus , Stanislav Volgushev

Suppose we are interested in the mean of an outcome that is subject to nonignorable nonresponse. This paper develops new semiparametric estimation methods with instrumental variables which affect nonresponse, but not the outcome. The…

Methodology · Statistics 2024-08-20 Baoluo Sun , Wang Miao , Deshanee S. Wickramarachchi

With the ubiquitous availability of unstructured data, growing attention is paid as how to adjust for selection bias in such non-probability samples. The majority of the robust estimators proposed by prior literature are either fully or…

Methodology · Statistics 2022-04-08 Ali Rafei , Michael R. Elliott , Carol A. C. Flannagan

We consider estimation and inference for a regression coefficient in panels with interactive fixed effects (i.e., with a factor structure). We demonstrate that existing estimators and confidence intervals (CIs) can be heavily biased and…

Econometrics · Economics 2025-05-13 Timothy B. Armstrong , Martin Weidner , Andrei Zeleneev

Logistic regression is an important statistical tool for assessing the probability of an outcome based upon some predictive variables. Standard methods can only deal with precisely known data, however many datasets have uncertainties which…

Methodology · Statistics 2022-06-09 Nicholas Gray , Scott Ferson

Two-stage least squares (TSLS) estimators and variants thereof are widely used to infer the effect of an exposure on an outcome using instrumental variables (IVs). They belong to a wider class of two-stage IV estimators, which are based on…

Methodology · Statistics 2015-10-08 Stijn Vansteelandt , Vanessa Didelez